`((941 + 149)^2+ (941 - 149)^2)/((941 xx 941 + 149 xx 149)) = ?`

Answer

To solve the expression \(\frac{(941 + 149)^2 + (941 - 149)^2}{(941 \times 941 + 149 \times 149)}\), we can use algebraic identities to simplify the calculation.

### Step-by-Step Solution:

1. **Identify the Variables**:
Let \( a = 941 \) and \( b = 149 \).

2. **Use the Algebraic Identity**:
We know that:
\[ (a + b)^2 + (a - b)^2 = 2a^2 + 2b^2 \]
Therefore, we can rewrite the numerator:
\[ (941 + 149)^2 + (941 - 149)^2 = 2(941^2 + 149^2) \]

3. **Substitute into the Expression**:
Now, substitute this back into the original expression:
\[ \frac{2(941^2 + 149^2)}{941^2 + 149^2} \]

4. **Simplify the Expression**:
The \(941^2 + 149^2\) in the numerator and denominator cancels out:
\[ = 2 \]

5. **Final Answer**:
Thus, the final answer is:
\[ 2 \]